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Finding the Fourth Proportional to 30,946.80, 42,706.80 and 17,518.08

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Solution

The fourth proportional to 30,946.80, 42,706.80 and 17,518.08 is: 24,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.80 : 42,706.80 = 17,518.08 : x
  2. Step 2: Convert to fraction form
    30,946.80/42,706.80 = 17,518.08/x
  3. Step 3: Cross multiply
    30,946.80x = 42,706.80 × 17,518.08
  4. Step 4: Simplify right side
    30,946.80x = 748,141,138.94
  5. Step 5: Solve for x
    x = 748,141,138.94/30,946.80
  6. Step 6: Final answer
    x = 24,175.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.